Question

5 exponent -2 over 3

Answer 1

Given:

`5^{-(2)/(3)}`

On simplification we get,

`\begin{gathered} 5^{-(2)/(3)}=\frac{1}{5^{(2)/(3)}} \\ =\frac{1}{(5^2)^{(1)/(3)}} \\ =\frac{1}{25^{(1)/(3)}} \\ =\frac{1}{\sqrt[3]{25}} \end{gathered}`

Hence, the answer is,

`\frac{1}{\sqrt[3]{25}}`